10142928 has 80 divisors (see below), whose sum is σ = 29730240. Its totient is φ = 3309696.

The previous prime is 10142927. The next prime is 10142947. The reversal of 10142928 is 82924101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22675 + ... + 23117.

It is an arithmetic number, because the mean of its divisors is an integer number (371628).

Almost surely, 2^10142928 is an apocalyptic number.

10142928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865120).

10142928 is an abundant number, since it is smaller than the sum of its proper divisors (19587312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142928 is a wasteful number, since it uses less digits than its factorization.

10142928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10142928 is about 3184.7963828163. The cubic root of 10142928 is about 216.4650474183.

The spelling of 10142928 in words is "ten million, one hundred forty-two thousand, nine hundred twenty-eight".